Finding the Third Proportional to 137,980 and 298,108

Step by Step Solution

1. Step 1: Write the proportion equation
   137,980 : 298,108 = 298,108 : x
2. Step 2: Convert to fraction form
   137,980/298,108 = 298,108/x
3. Step 3: Cross multiply
   137,980x = 298,108 × 298,108
4. Step 4: Simplify right side
   137,980x = 88,868,379,664
5. Step 5: Solve for x
   x = 88,868,379,664/137,980
6. Step 6: Final answer
   x = 644,067.11